WebAssign Printed Access Card for Harshbarger/Reynolds' Mathematical Applications for the Management, Life, and Social Sciences, 12th Edition, Multi-Term
12th Edition
ISBN: 9781337630542
Author: Ronald J. Harshbarger, James J. Reynolds
Publisher: Cengage Learning
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Chapter 11.1, Problem 32E
To determine
To calculate: The value of
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2. In a computer network some pairs of computers are connected by network cables.
Your goal is to set up the computers so that messages can be sent quickly from any
computer to any other computer. For this you have identified each of the n com-
puters uniquely with a number between 1 and n, and have decided that a message
should consist of two such numbers, identifying the sender and the recipient, fol-
lowed by the content of the message. As cables are relatively short, you can assume
that sending a message across a single cable takes an amount of time that is the
same irrespective of the length of the cable. You can further assume that at most
one message travels between computer at any point, so that you don't have to worry
about inference among messages.
(a) Define a graph or network that models the computer network and allows you
to answer the remaining parts of this question.
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you have defined,…
3. A spreadsheet consists of cells indexed by a row and a column. Each cell contains
either a value or a formula that depends on the values of other cells.
(a) Describe a graph, digraph, or network that models an arbitrary spreadsheet
and allows you to answer the remaining parts of this question.
(b) Explain, by referring to the graph, digraph, or network, when it is possible to
change the value of cell x without changing the value of cell y.
(c) Explain, by referring to the graph, digraph, or network, when it is possible to
calculate the values of all cells in the spreadsheet.
Consider the following spreadsheet with 5 rows, 7 columns, and 35 cells. For exam-
ple, cell el contains a value, whereas cell al contains a formula that depends on the
values cells el and 95.
a
b
с
1
el+g5 al-c5 110
d
al+cl 180
e
f
g
f5-el
c1+c2
2
al+b1 a2+c4 240
a2+c2 120
f5-e2
e3+e5
3 a2+b2 a3-c3 100
a3+c1 200
f5-e3 f1+f2
4
a3+b3 a4+c2 220
a4+c2 100 f5-e4 f3+f4
5 a4+b4 a5-c1 130 a5+c5 120 g3+g4 g1+g2
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1. Let W, U, and S be graphs defined as follows:
• V(W) is the set of countries in the world;
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● for X = {W,U,S}, E(X) is the set of pairs of countries in V(X) that share a
land border.
Recall that land borders between countries in the Schengen Area are special in that
they can be crossed without a passport.
(a) The notions of a country and a land border are somewhat ambiguous. Explain
the notions you will use to get a precise definition of the graphs W, U, and S.
(b) Is S a subgraph of U? Is U an induced subgraph of W? Justify your answers.
(c) Using non-mathematical language, explain what it means for a country x if
VEV(S) and dw (v) = 0. Give all such countries.
Let A = {v Є V(W) \V(S) such that |Nw(v)| > 0 and Nw (v) ≤ V(S)}.
(d) Using non-mathematical language, explain what the set A represents in terms
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Chapter 11 Solutions
WebAssign Printed Access Card for Harshbarger/Reynolds' Mathematical Applications for the Management, Life, and Social Sciences, 12th Edition, Multi-Term
Ch. 11.1 - 1.
Ch. 11.1 - 2. If
Ch. 11.1 - Prob. 3CPCh. 11.1 - 4. Find .
Ch. 11.1 - Prob. 1ECh. 11.1 - Prob. 2ECh. 11.1 - Prob. 3ECh. 11.1 - Prob. 4ECh. 11.1 - Prob. 5ECh. 11.1 - Find the derivatives of the functions in Problems...
Ch. 11.1 - Find the derivatives of the functions in Problems...Ch. 11.1 - Find the derivatives of the functions in Problems...Ch. 11.1 - Find the derivatives of the functions in Problems...Ch. 11.1 - Find the derivatives of the functions in Problems...Ch. 11.1 - 11. Find .
Ch. 11.1 - Prob. 12ECh. 11.1 - In each of Problems 13-18, find the derivative of...Ch. 11.1 - In each of Problems 13-18, find the derivative of...Ch. 11.1 - In each of Problems 13-18, find the derivative of...Ch. 11.1 - In each of Problems 13-18, find the derivative of...Ch. 11.1 - In each of Problems 13-18, find the derivative of...Ch. 11.1 - In each of Problems 13-18, find the derivative of...Ch. 11.1 - 19. Find .
Ch. 11.1 - Prob. 20ECh. 11.1 - Prob. 21ECh. 11.1 - Prob. 22ECh. 11.1 - Prob. 23ECh. 11.1 - 24. Find
Ch. 11.1 - In Problems 25-38, find y'.
Ch. 11.1 - In Problems 25-38, find y'.
26.
Ch. 11.1 - In Problems 25-38, find y'.
27.
Ch. 11.1 - Prob. 28ECh. 11.1 - In Problems 25-38, find y'.
29.
Ch. 11.1 - Prob. 30ECh. 11.1 - In Problems 25-38, find y'.
31.
Ch. 11.1 - Prob. 32ECh. 11.1 - In Problems 25-38, find y'.
33.
Ch. 11.1 - Prob. 34ECh. 11.1 - Prob. 35ECh. 11.1 - Prob. 36ECh. 11.1 - Prob. 37ECh. 11.1 - Prob. 38ECh. 11.1 - Prob. 39ECh. 11.1 - Prob. 40ECh. 11.1 - Prob. 41ECh. 11.1 - Prob. 42ECh. 11.1 - 43. Marginal cost Suppose that the total cost (in...Ch. 11.1 - 44. Investment If money is invested at the...Ch. 11.1 - 45. Marginal revenue The total revenue, in...Ch. 11.1 - 46. Supply Suppose that the supply of x units of a...Ch. 11.1 - 47. Demand The demand function for a product is...Ch. 11.1 - Prob. 48ECh. 11.1 - Prob. 49ECh. 11.1 - Prob. 50ECh. 11.1 - Prob. 51ECh. 11.1 - 52. Women in the workforce From 1950 and projected...Ch. 11.2 - 1. If , find y’.
Ch. 11.2 - 2. If , find y’.
Ch. 11.2 - Prob. 3CPCh. 11.2 - 4. If the sales of a product are given by , where...Ch. 11.2 - Find the derivatives of the functions in Problems...Ch. 11.2 - Find the derivatives of the functions in Problems...Ch. 11.2 - Prob. 3ECh. 11.2 - Find the derivatives of the functions in Problems...Ch. 11.2 - Find the derivatives of the functions in Problems...Ch. 11.2 - Find the derivatives of the functions in Problems...Ch. 11.2 - Find the derivatives of the functions in Problems...Ch. 11.2 - Find the derivatives of the functions in Problems...Ch. 11.2 - Prob. 9ECh. 11.2 - Find the derivatives of the functions in Problems...Ch. 11.2 - Find the derivatives of the functions in Problems...Ch. 11.2 - Find the derivatives of the functions in Problems...Ch. 11.2 - Prob. 13ECh. 11.2 - Prob. 14ECh. 11.2 - Prob. 15ECh. 11.2 - Prob. 16ECh. 11.2 - Find the derivatives of the functions in Problems...Ch. 11.2 - Prob. 18ECh. 11.2 - Prob. 19ECh. 11.2 - Prob. 20ECh. 11.2 - Prob. 21ECh. 11.2 - Find the derivatives of the functions in Problems...Ch. 11.2 - Find the derivatives of the functions in Problems...Ch. 11.2 - Find the derivatives of the functions in Problems...Ch. 11.2 - Find the derivatives of the functions in Problems...Ch. 11.2 - Find the derivatives of the functions in Problems...Ch. 11.2 - Prob. 27ECh. 11.2 - Prob. 28ECh. 11.2 - Find the derivatives of the functions in Problems...Ch. 11.2 - Prob. 30ECh. 11.2 - Prob. 31ECh. 11.2 - Prob. 32ECh. 11.2 - Prob. 33ECh. 11.2 - Prob. 34ECh. 11.2 - Prob. 35ECh. 11.2 - Prob. 36ECh. 11.2 - Prob. 37ECh. 11.2 - Prob. 38ECh. 11.2 - In Problems 39-42, find any relative maxima and...Ch. 11.2 - Prob. 40ECh. 11.2 - Prob. 41ECh. 11.2 - Prob. 42ECh. 11.2 - 43. Future value If $P is invested for n years at...Ch. 11.2 - 44. Future value The future value that accrues...Ch. 11.2 - 45. Sales decay After the end of an advertising...Ch. 11.2 - Prob. 46ECh. 11.2 - 47. Marginal cost Suppose that the total cost in...Ch. 11.2 - 48. Marginal revenue Suppose that the revenue in...Ch. 11.2 - 49. Drugs in a bloodstream The percent...Ch. 11.2 - 50. Radioactive decay The amount of the...Ch. 11.2 - 51. Pollution Pollution levels in Lake Sagamore...Ch. 11.2 - Prob. 52ECh. 11.2 - 53. National health care With U.S. Department of...Ch. 11.2 - Prob. 54ECh. 11.2 - Prob. 55ECh. 11.2 - Prob. 56ECh. 11.2 - 58. Blood pressure Medical research has shown...Ch. 11.2 - Prob. 59ECh. 11.2 - Prob. 60ECh. 11.2 - Prob. 61ECh. 11.2 - 62. Carbon dioxide emissions Using U.S. Department...Ch. 11.2 - 65. Disposable income per capita Using U.S. Energy...Ch. 11.2 - Prob. 66ECh. 11.3 - Find the following:
(b) (c)
Ch. 11.3 - Prob. 2CPCh. 11.3 - In Problems 1-6, find dy/dx at the given point...Ch. 11.3 - In Problems 1-6, find at the given point without...Ch. 11.3 - In Problems 1-6, find dy/dx at the given point...Ch. 11.3 - In Problems 1-6, find at the given point without...Ch. 11.3 - In Problems 1-6, find at the given point without...Ch. 11.3 - In Problems 1-6, find at the given point without...Ch. 11.3 - Find dy/dx for the functions in Problems 7-10.
7....Ch. 11.3 - Find for the functions in Problems 7-10.
8.
Ch. 11.3 - Find for the functions in Problems 7-10.
9.
Ch. 11.3 - Find for the functions in Problems 7-10.
10.
Ch. 11.3 - 11.
Ch. 11.3 - 12.
Ch. 11.3 - 13.
Ch. 11.3 - Prob. 14ECh. 11.3 - Prob. 15ECh. 11.3 - 16.
Ch. 11.3 - 17.
Ch. 11.3 - 18. If find .
Ch. 11.3 - 19.
Ch. 11.3 - Prob. 20ECh. 11.3 - Prob. 21ECh. 11.3 - Prob. 22ECh. 11.3 - Prob. 23ECh. 11.3 - Prob. 24ECh. 11.3 - Prob. 25ECh. 11.3 - For Problems 23-26, find the slope of the line...Ch. 11.3 - Prob. 27ECh. 11.3 - Prob. 28ECh. 11.3 - Prob. 29ECh. 11.3 - Prob. 30ECh. 11.3 - Prob. 31ECh. 11.3 - Prob. 32ECh. 11.3 - Prob. 33ECh. 11.3 - 34. If ln find .
Ch. 11.3 - 35.
Ch. 11.3 - Prob. 36ECh. 11.3 - 37.
Ch. 11.3 - Prob. 38ECh. 11.3 - Prob. 39ECh. 11.3 - Prob. 40ECh. 11.3 - Prob. 41ECh. 11.3 - Prob. 42ECh. 11.3 - Prob. 43ECh. 11.3 - Prob. 44ECh. 11.3 - Prob. 45ECh. 11.3 - Prob. 46ECh. 11.3 - Prob. 47ECh. 11.3 - Prob. 48ECh. 11.3 - Prob. 49ECh. 11.3 - Prob. 50ECh. 11.3 - Prob. 51ECh. 11.3 - Prob. 52ECh. 11.3 - Prob. 53ECh. 11.3 - Prob. 54ECh. 11.3 - 55. Advertising and sales Suppose that a company’s...Ch. 11.3 - Prob. 56ECh. 11.3 - 57. Production Suppose that a company can produce...Ch. 11.3 - Prob. 58ECh. 11.3 - 59. Demand If the demand function for q units of a...Ch. 11.3 - Prob. 60ECh. 11.3 - Prob. 61ECh. 11.3 - Prob. 62ECh. 11.3 - Prob. 63ECh. 11.4 - 1. If V represents volume, write a mathematical...Ch. 11.4 - Prob. 2CPCh. 11.4 - 3. True or false: In solving a related-rates...Ch. 11.4 - Prob. 1ECh. 11.4 - In Problems 1-4, find using the given values.
2....Ch. 11.4 - Prob. 3ECh. 11.4 - Prob. 4ECh. 11.4 - Prob. 5ECh. 11.4 - Prob. 6ECh. 11.4 - Prob. 7ECh. 11.4 - Prob. 8ECh. 11.4 - Prob. 9ECh. 11.4 - Prob. 10ECh. 11.4 - Prob. 11ECh. 11.4 - Prob. 12ECh. 11.4 - 13. The radius of a circle is increasing at a rate...Ch. 11.4 - Prob. 14ECh. 11.4 - Prob. 15ECh. 11.4 - Prob. 16ECh. 11.4 - 17. Profit Suppose that the daily profit (in...Ch. 11.4 - 18. Profit Suppose that the monthly revenue and...Ch. 11.4 - 19. Demand Suppose that the price p (in dollars)...Ch. 11.4 - 20. Supply The supply function for a product is...Ch. 11.4 - Prob. 21ECh. 11.4 - Prob. 22ECh. 11.4 - Tumor growth For Problems 23 and 24, suppose that...Ch. 11.4 - Tumor growth For Problems 23 and 24, suppose that...Ch. 11.4 - 25. Allomelric relationships—fish For many species...Ch. 11.4 - Prob. 26ECh. 11.4 - Prob. 27ECh. 11.4 - Prob. 28ECh. 11.4 - Prob. 29ECh. 11.4 - 30. Water purification Assume that water is being...Ch. 11.4 - Prob. 31ECh. 11.4 - 32. Boat docking Suppose that a boat is being...Ch. 11.4 - 33. Ladder safety A 30-ft ladder is leaning...Ch. 11.4 - 34. Flight A kite is 30 ft high and is moving...Ch. 11.4 - 35. Flight A plane is flying at a constant...Ch. 11.4 - 36. Distance Two boats leave the same port at the...Ch. 11.4 - 37. Distance Two cars are approaching an...Ch. 11.4 - 38. Water depth Water is flowing into a barrel in...Ch. 11.4 - Prob. 39ECh. 11.5 - 1. Write the formula for point elasticity, .
Ch. 11.5 - 2. (a) If , the demand is called _______.
(b) If...Ch. 11.5 - Prob. 3CPCh. 11.5 - Prob. 4CPCh. 11.5 - Prob. 1ECh. 11.5 - Prob. 2ECh. 11.5 - In Problems 1 -8, p is in dollars and q is the...Ch. 11.5 - In Problems 1 -8, p is in dollars and q is the...Ch. 11.5 - In Problems 1 -8, p is in dollars and q is the...Ch. 11.5 - In Problems 1 -8, p is in dollars and q is the...Ch. 11.5 - Prob. 7ECh. 11.5 - In Problems 1 -8, p is in dollars and q is the...Ch. 11.5 - 9. Suppose the demand function for a product is...Ch. 11.5 - 10. Suppose the weekly demand function for a...Ch. 11.5 - In Problems 11 and 12, the demand functions for...Ch. 11.5 - In Problems 11 and 12, the demand functions for...Ch. 11.5 - Prob. 15ECh. 11.5 - Prob. 16ECh. 11.5 - Prob. 17ECh. 11.5 - Prob. 18ECh. 11.5 - In Problems 15-24, p is the price per unit in...Ch. 11.5 - In Problems 15-24, p is the price per unit in...Ch. 11.5 - In Problems 15-24, p is the price per unit in...Ch. 11.5 - Prob. 22ECh. 11.5 - In Problems 15-24, p is the price per unit in...Ch. 11.5 - Prob. 24ECh. 11 - In Problems 1-12, find the derivative of each...Ch. 11 - Prob. 2RECh. 11 - Prob. 3RECh. 11 - In Problems 1-12, find the derivative of each...Ch. 11 - Prob. 5RECh. 11 - Prob. 6RECh. 11 - Prob. 7RECh. 11 - Prob. 8RECh. 11 - Prob. 9RECh. 11 - Prob. 10RECh. 11 - Prob. 11RECh. 11 - Prob. 12RECh. 11 - Prob. 13RECh. 11 - Prob. 14RECh. 11 - Prob. 15RECh. 11 - Prob. 16RECh. 11 - Prob. 17RECh. 11 - Prob. 18RECh. 11 - In Problems 15-20, find the indicated...Ch. 11 - Prob. 20RECh. 11 - Prob. 21RECh. 11 - Prob. 22RECh. 11 - Prob. 23RECh. 11 - Prob. 24RECh. 11 - Prob. 25RECh. 11 - Prob. 26RECh. 11 - Prob. 27RECh. 11 - Prob. 28RECh. 11 - 29. Radioactive decay A breeder reactor converts...Ch. 11 - Prob. 30RECh. 11 - Prob. 31RECh. 11 - Prob. 32RECh. 11 - Prob. 33RECh. 11 - Prob. 34RECh. 11 - Prob. 35RECh. 11 - Prob. 36RECh. 11 - 37. Elasticity Suppose the weekly demand function...Ch. 11 - Prob. 38RECh. 11 - Prob. 39RECh. 11 - Prob. 40RECh. 11 - Prob. 41RECh. 11 - In Problems 1-8, find the derivative of each...Ch. 11 - Prob. 2TCh. 11 - Prob. 3TCh. 11 - Prob. 4TCh. 11 - Prob. 5TCh. 11 - In Problems 1-8, find the derivative of each...Ch. 11 - In Problems 1-8, find the derivative of each...Ch. 11 - In Problems 1-8, find the derivative of each...Ch. 11 - Prob. 9TCh. 11 - Prob. 10TCh. 11 - Prob. 11TCh. 11 - 12. Suppose the weekly revenue and weekly cost...Ch. 11 - Prob. 13TCh. 11 - Prob. 14TCh. 11 - Prob. 15TCh. 11 - Prob. 16TCh. 11 - Prob. 17TCh. 11 - Prob. 19T
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